Abstract: Integral-field spectroscopic surveys such as MaNGA in the nearby Universe and KMOS3D out to z~2.6 are providing us with a 3D mapping of the ionized gas emission in large samples of mass-selected star-forming galaxies.  Their dynamics reveal the depth of gravitational potentials in which the gas orbits.  Broad components to the line emission shed light on galactic-scale outflows driven by star formation and active nuclei.  Moreover, the spatial distribution of ionized gas emission serves as a tracer of where within galaxies the (unobscured) star formation is taking place.  Complementing these rest-optical observations are far-infrared measures of dust and CO line emission, probing the cold gas reservoirs, molecular outflows and the distribution of dust-obscured star formation.  I will present recent findings on the nature and evolution of star-forming galaxies from cosmic noon to the present day, obtained by combining multi-wavelength tracers of dust and star formation, ionised and molecular gas.